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Finding the Third Proportional to 96,966.75 and 205,671.75

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Solution

The third proportional to 96,966.75 and 205,671.75 is: 436,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,966.75 : 205,671.75 = 205,671.75 : x
  2. Step 2: Convert to fraction form
    96,966.75/205,671.75 = 205,671.75/x
  3. Step 3: Cross multiply
    96,966.75x = 205,671.75 × 205,671.75
  4. Step 4: Simplify right side
    96,966.75x = 42,300,868,748.06
  5. Step 5: Solve for x
    x = 42,300,868,748.06/96,966.75
  6. Step 6: Final answer
    x = 436,240.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.